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Question

In the figure shown, what force F should be applied perpendicular to the plane on the block for it to not move. Given that the coefficient of static friction between the plane and the block is 0.5.
(Assume limiting case of friction and take g=10 m/s2)

A
102 N
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B
202 N
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C
302 N
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D
102 N
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Solution

The correct option is A 102 N
FBD is given as


As system is in rest,

Perpendicular to the plane:
N=(F+102) N

Along the plane
20sin45=f
102=μN=μ(F+102)
202=F+102
F=102 N

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